Darren B. Parker

activity

20192024

collaborators

Showing math.COShow all

3 papers · 1 filter

math.CO2024

Some Winnability Results for the Neighborhood and Group Labeling Lights Out Games

Brittany Doherty, Christian J. Miller, Darren B. Parker

We look at both the \emph{group labeling lights out game} and the \emph{neighborhood lights out game}. Our main focus is to determine necessary and sufficient conditions for when t…

math.CO2023

The Lights Out Game on Directed Graphs

T. Elise Dettling, Darren B. Parker

We study a version of the lights out game played on directed graphs. For a digraph $D$ , we begin with a labeling of $V (D)$ with elements of $Z_{k}$ for $k \geq 2$ . When a ver…

math.CO2019

An Extremal Problem for the Neighborhood Lights Out Game

Lauren Keough, Darren Parker

Neighborhood Lights Out is a game played on graphs. Begin with a graph and a vertex labeling of the graph from the set ${0, 1, 2, \dots, ℓ - 1}$ for $ℓ \in N$ . The game…